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Approximate the area under a curve: trapezoids

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Approximate the area under a curve: trapezoids — free printable Calculus math worksheet

This worksheet guides students through using trapezoids to approximate the area under a curve, reinforcing foundational concepts in numerical integration. Teachers can use it to introduce the trapezoidal rule as a practical method for estimating definite integrals, especially when dealing with non-analytic functions or discrete data. The exercises challenge students to apply, analyze, and interpret trapezoidal approximations, making it ideal for high school calculus classes focused on integration techniques.

Learning objectives

  • Calculate the approximate area under a curve using the trapezoidal rule.
  • Apply the trapezoidal method to estimate definite integrals from discrete data points.
  • Analyze the accuracy of trapezoidal approximations compared to exact integral values.

How to use this worksheet

  1. Select “Sign in / Sign up to download”, then sign in with Google or email to get the PDF from KiwiBee Printables.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Use the included answer key to mark it in seconds.

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Answer Key

Answer key for Approximate the area under a curve: trapezoids — free printable Math worksheet

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